An Introduction to Algebraic Geometry
Seiten
1997
American Mathematical Society (Verlag)
978-0-8218-0589-3 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-0589-3 (ISBN)
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This introduction to algebraic geometry aims to allow readers to grasp the fundamentals of the subject with only linear algebra and calculus as prerequisites. It is intended for graduate students, research mathematicians, and mathematics educators.
This introduction to algebraic geometry allows readers to grasp the fundamentals of the subject with only linear algebra and calculus as prerequisites. After a brief history of the subject, the book introduces projective spaces and projective varieties, and explains plane curves and resolution of their singularities. The volume further develops the geometry of algebraic curves and treats congruence zeta functions of algebraic curves over a finite field. It concludes with a complex analytical discussion of algebraic curves. The author emphasizes computation of concrete examples rather than proofs, and these examples are discussed from various viewpoints. This approach allows readers to develop a deeper understanding of the theorems.
This introduction to algebraic geometry allows readers to grasp the fundamentals of the subject with only linear algebra and calculus as prerequisites. After a brief history of the subject, the book introduces projective spaces and projective varieties, and explains plane curves and resolution of their singularities. The volume further develops the geometry of algebraic curves and treats congruence zeta functions of algebraic curves over a finite field. It concludes with a complex analytical discussion of algebraic curves. The author emphasizes computation of concrete examples rather than proofs, and these examples are discussed from various viewpoints. This approach allows readers to develop a deeper understanding of the theorems.
| Erscheint lt. Verlag | 7.8.1997 |
|---|---|
| Reihe/Serie | Translations of Mathematical Monographs Reprint ; No.166 |
| Zusatzinfo | Illustrations |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 703 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-8218-0589-4 / 0821805894 |
| ISBN-13 | 978-0-8218-0589-3 / 9780821805893 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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